import java.io.*;
import java.util.*;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        long n = sc.nextLong();
        long k = sc.nextLong();
        long m = sc.nextLong();
        HashMap<Long, Integer> base = new HashMap<>();
        for (long i = 2; i <= Math.sqrt(m); i++) {
            while (m % i == 0) {
                m /= i;
                base.put(i, base.getOrDefault(i, 0) + 1);
            }
        }
        if (m > 1) {
            base.put(m, base.getOrDefault(m, 0) + 1);
        }
        long ans = Long.MAX_VALUE;
        for (long x : base.keySet()) {
            ans = Math.min(ans, getCount(n, k, x) / base.get(x));
        }
        System.out.println(ans);
    }
    
    static long getCount(long a, long b, long x) {
        return getCount(a, x) - getCount(a - b, x) - getCount(b, x);
    }
    
    static long getCount(long a, long x) {
        long count = 0;
        while (a >= x) {
            count += a / x;
            a /= x;
        }
        return count;
    }
}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}